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igor_vitrenko [27]
3 years ago
15

Ms. Costo is shopping for a new car. The salesman tells her the price will be $18,795 before a 10% discount. Ms. Costo isn’t sur

e she is getting the best price, so she sends Ms. Deele to ask the price of the same car. This time the salesman tells her the price is $17,050. Who is offered the better price? What is the price of the better deal after paying the 6% sales tax?​
Mathematics
1 answer:
Viktor [21]3 years ago
4 0

Answer:

Ms. Costco was offered the best price. It would be $15,900.57 after tax

Step-by-step explanation:

Ms. Costco: $18,795 x .90 =$16,915.50 x .94=$15,900.57

Ms. Deele: $17,050 x .94=$16,027

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Manufacture of a certain component requires three different machining operations. Machining time for each operation has a normal
tigry1 [53]

Answer:

0.0314 = 3.14% probability that it takes at most 1 hour of machining time to produce a randomly selected component

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Sum of normal variables:

When normal variables are added, the mean is the sum of the means while the standard deviation is the square root of the sum of the variances.

The mean values are 20, 15, and 30 min, respectively:

This means that \mu = 20 + 15 + 30 = 65

The standard deviations are 1, 2, and 1.5 min, respectively.

This means that \sigma = \sqrt{1^2 + 2^2 + 1.5^2} = 2.6926

What is the probability that it takes at most 1 hour of machining time to produce a randomly selected component?

Mean and standard deviation are in minutes, so this is the pvalue of Z when X = 60.

Z = \frac{X - \mu}{\sigma}

Z = \frac{60 - 65}{2.6926}

Z = -1.86

Z = -1.86 has a pvalue of 0.0314

0.0314 = 3.14% probability that it takes at most 1 hour of machining time to produce a randomly selected component

7 0
2 years ago
Help, please (single variable calculus)
balandron [24]

Hi there!

\large\boxed{ 14.875}

Our interval is from 0 to 3, with 6 intervals. Thus:

3 ÷ 6 = 0.5, which is our width for each rectangle.

Since n = 6 and we are doing a right-riemann sum, the points we will be plugging in are:

0.5, 1, 1.5, 2, 2.5, 3

Evaluate:

(0.5 · f(0.5)) + (0.5 · f(1)) + (0.5 · f(1.5)) + (0.5 · f(2)) + (0.5 · f(2.5)) + (0.5 · f(3)) =

Simplify:

0.5( -2.75 + (-3) + (-.75) + 4 + 11.25 + 21) = 14.875

7 0
3 years ago
Find the value of each variable in each parallelogram. T
Pepsi [2]

A Parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite sides of a Parallelogram are of same length and opposite angles are same.

Step-by-step explanation:

Properties of a Parallelogram

  1. Both Pairs of Opposite sides are Parallel
  2. Both Pairs of Opposite sides are Congruent
  3. Both Pairs of Opposite angles are Congruent
  4. Consecutive angles are supplementary
  5. Daigonals bisect each other.

8 0
3 years ago
Maths easy class 8 whoever gets it I will give u brainlist​
asambeis [7]

Answer:

424 cm²

Step-by-step explanation:

The figure is composed of a square and a trapezium on top

A of square = 18² = 324 cm²

A of trapezium = \frac{1}{2} h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = 8, b₁ = 18 and b₂ = 7 , then

A = 0.5 × 8 × (18 + 7) = 4 × 25 = 100 cm²

Area of hexagonal park = 324 + 100 = 424 cm²

8 0
2 years ago
There are 60 students in a classroom, 50% of the students are
vivado [14]

Answer:

28

Step-by-step explanation:

If 50% of students are boys that means there are 30 boys and 30 girls. Then if   30% of boys are 10 and 60% of girls are 18. You add 18+10 and that gives you 28.

6 0
3 years ago
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